Answer:
3/12 =1/6
Step-by-step explanation:
4+5+3=12
probability of picking 3 marbles is
3/12which in lowest term is 1/6
Answer:
Not sure if this is right, but I got $40.8.
Step-by-step explanation:
I first turned 20% into a decimal. (0.20).
Then I multiplied 0.20 and 34 which is 6.8.
I then added 34 since it’s the original cost to 6.8 since that’s the tip amount.
After that, you should get $40.8.
Answer:
10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Step-by-step explanation:
In this question, we are tasked with writing the product as a sum.
To do this, we shall be using the sum to product formula below;
cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]
From the question, we can say α= 5x and β= 10x
Plugging these values into the equation, we have
10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]
= 5[sin (15x) - sin (-5x)]
We apply odd identity i.e sin(-x) = -sinx
Thus applying same to sin(-5x)
sin(-5x) = -sin(5x)
Thus;
5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]
= 5[sin (15x) + sin (5x)]
Hence, 10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Answer:
The correct answer is 10 and 14
